Abstract
This work investigates the spectral radiative properties of ceramic particles using a monochromator and a Fourier-transform infrared spectrometer (FTIR) with integrating spheres at wavelengths from 0.38 μm to 15 μm. Particles are encased between two transparent windows to obtain the directional-hemispherical reflectance of the particle bed. Two types of commercially available particles with three different sizes are examined. Integration over the solar spectrum reveals that the solar absorptance of the particle beds is between 0.940 and 0.957. The total emittance at 1000 K is also estimated by assuming the spectral emittance is independent of temperature. The optical constants of particles are modeled with effective medium approaches, considering the optical properties of individual constituent materials. The absorptance of the particle is estimated using the effective optical constants and compared with that of the particle bed from the measurement. This work facilitates the characterization of radiative properties of particles with a windowed method and provides a modeling scheme for approximating the radiative properties of composite ceramic materials.
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Abbreviations
- \(a_{\lambda }\) :
-
Absorption coefficient, m−1
- d :
-
Thickness, m
- E :
-
Emissive power, W·m−2
- \(E_{\lambda }\) :
-
Spectral emissive power, W·m−2·μm−1
- \(G_{\lambda }\) :
-
Spectral irradiance, W·m−2·μm−1
- n :
-
Refractive index
- R :
-
Directional-hemispherical reflectance
- T :
-
Directional-hemispherical transmittance
- α :
-
Absorptance
- ε :
-
Emittance
- \(\tilde{\varepsilon }\) :
-
Complex dielectric function (relative electric permittivity)
- κ :
-
Extinction coefficient or imaginary part of the refractive index
- λ :
-
Wavelength, μm
- ρ :
-
Reflectivity at the surface
- σ :
-
The Stefan–Boltzmann constant, 5.670 × 10−8 W·m−2·K−4
- τ :
-
Internal transmissivity
- ϕ :
-
Volume fraction
- b:
-
Blackbody
- E or O:
-
Extraordinary or ordinary component
- eff:
-
Effective
- h:
-
Host
- j :
-
Index for individual constituent
- p,s,w:
-
Particle bed, sample (particle bed with window), and window
- λ :
-
Spectral
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Acknowledgments
This work was supported by the U.S. Department of Energy’s Office of Energy Efficiency and Renewable Energy (EERE) under Solar Energy Technologies Office Award Number EE0008372. The views expressed herein do not necessarily represent the views of the U.S. Department of Energy or the United States Government. The authors would like to thank Prof. Shreyes Melkote and Mr. Vinh Nguyen for their help in obtaining the particle images.
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Chen, C., Yang, C., Ranjan, D. et al. Spectral Radiative Properties of Ceramic Particles for Concentrated Solar Thermal Energy Storage Applications. Int J Thermophys 41, 152 (2020). https://doi.org/10.1007/s10765-020-02733-5
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DOI: https://doi.org/10.1007/s10765-020-02733-5